46408320 has 192 divisors, whose sum is σ = 183306240. Its totient is φ = 10598400.

The previous prime is 46408301. The next prime is 46408331. The reversal of 46408320 is 2380464.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39745 + ... + 40895.

It is an arithmetic number, because the mean of its divisors is an integer number (954720).

Almost surely, 2^46408320 is an apocalyptic number.

46408320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91653120).

46408320 is an abundant number, since it is smaller than the sum of its proper divisors (136897920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46408320 is a wasteful number, since it uses less digits than its factorization.

46408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 46408320 is about 6812.3652280247. The cubic root of 46408320 is about 359.3618323594.

Adding to 46408320 its reverse (2380464), we get a palindrome (48788784).

The spelling of 46408320 in words is "forty-six million, four hundred eight thousand, three hundred twenty".